1072013387760 has 180 divisors, whose sum is σ = 4187962642968. Its totient is φ = 245031623424.

The previous prime is 1072013387639. The next prime is 1072013387761. The reversal of 1072013387760 is 677833102701.

1072013387760 is a `hidden beast` number, since 1 + 0 + 7 + 201 + 3 + 387 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1072013387760² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072013387761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15157654 + ... + 15228213.

Almost surely, 2^{1072013387760} is an apocalyptic number.

1072013387760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1072013387760 is an abundant number, since it is smaller than the sum of its proper divisors (3115949255208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1072013387760 is a wasteful number, since it uses less digits than its factorization.

1072013387760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30385900 (or 30385884 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 1072013387760 in words is "one trillion, seventy-two billion, thirteen million, three hundred eighty-seven thousand, seven hundred sixty".